Euphorbia glyptosperma Engelm is recorded for the first time as part of the flora of Libya. This widespread wild weed was collected during 2023–2024 from various locations, including regions in Sabha and Ariggiba (approximately 110 km southwest of Sabha city). To aid in its identification and facilitate future studies, a comprehensive description of the species, habitat information, a distribution map, and distribution data are provided. Additionally, a brief discussion highlights the most significant threats associated with this species. Keywords: Identification key, Ariggiba Region, Field work, Sabha taxonomy, Alena

This study aimed to evaluate the inhibitory and lethal effects of root extracts of the Wild Rue plant (Peganum harmala L.) against the pathogenic fungus Rhizoctonia solani under laboratory conditions. Two types of extracts (aqueous and alcoholic) were used at concentrations of (5%, 10%, 15%, and 20%). The results indicated that the effectiveness increased proportionally with the concentration. The inhibition rate of the aqueous extract reached 64.8% at a concentration of 20%, while the alcoholic extract was significantly superior, reaching 84% at the same concentration. Statistical analysis confirmed highly significant differences between concentrations (P < 0.001) as determined by one-way ANOVA, while two-way ANOVA showed extract type, concentration, and their interaction were significant factors, explaining approximately 85% of the total variance. The study concluded that the alcoholic extract is more effective than the aqueous one in inhibiting R. solani, making it a promising option for fungal control as a safe alternative to chemical pesticides.

This study presents a taxonomic note on Fagonia isotricha Murb.

(Zygophyllaceae), a species recorded in Libya and currently treated as a taxonomic

synonym of Zygophyllum mayanum. Global taxonomic databases, such as those

curated by the Royal Botanic Gardens, Kew and World Flora Online, recognize this

taxon as part of the Libyan flora under its currently accepted nomenclature.

This study provides field-based and morphological documentation of populations

observed in the Ariggiba region (southern Libya), and discusses their taxonomic

placement within the Fagonia–Zygophyllum complex. Herbarium specimens were

collected, examined, and deposited, supporting the occurrence of this taxon in the

Libyan flora

Boerhavia erecta has been recorded for the first time in the flora of Libya. This widespread wild

weed was collected in 2023 and 2024 from multiple locations, all included in the regions Sabha and Ariggiba,

and situated approximately 110 km southwest of Sabha city. This species, known for it adaptability to

disturbed habitats and arid conditions, holds ecological significance in its native and introduced ranges. To

facilitate its accurate identification and support future research efforts, a comprehensive description of the

species is provided, along with data about the habitat and a distribution map. These findings offer valuable

insights into the plant’s occurrence, ecological preferences, and adaptability within Libya's unique climatic

conditions. Additionally, the study discusses the potential threats posed by Boerhavia erecta to native plant

flora and vegetation. Emphasis is placed on the importance of monitoring the spread of B. erecta and

conducting further studies to assess its ecological impact in Libya. This record not only highlights the plant's

expansion but also underscores the need for continued floristic surveys to document and preserve the

country's rich biodiversity.

 In this paper, a new continuous probability distribution has been proposed. The proposed distribution is considered as one of the extended distributions of Rayleigh distribution, which is well known in probability Theory and its applications. The distribution under consideration is titled "Exponential Log-compound Rayleigh distribution". proposed. The statistical properties of distribution parameters estimating using Maximum likelihood technique and Fisher information matrix are investigated theoretically. The evaluating of distribution performance is demonstrated on both simulated data and real data. Based on the values of bias, MSE and Fisher information matrix of the parameters estimates, the proposed distribution is considered to be working well.

Abstract— Crime prediction has gained increasing attention due to the growing availability of historical crime data and the need for data-driven decision-making in public safety. This study presents a comparative analysis of Long Short-Term Memory (LSTM) architectures for predicting the exact occurrence time of crimes based on temporal patterns. Three LSTM-based models are evaluated: Vanilla LSTM, Stacked LSTM, and Bidirectional LSTM.

The proposed approach integrates time-based features and lag features to capture temporal dependencies within crime data. Model performance is assessed using standard regression metrics, including Mean Absolute Error (MAE), Mean Squared Error (MSE), and Root Mean Squared Error (RMSE). Experimental results indicate that deeper LSTM architectures combined with temporal lag information improve prediction accuracy compared to the baseline model.

This study demonstrates the effectiveness of LSTM-based models for crime occurrence prediction and provides insights into selecting suitable deep learning architectures for time-series crime analysis, supporting the development of more reliable tools for proactive crime prevention.

This paper introduces a finite topological space 𝜏𝑝 on the group of units modulo a prime 𝑝, defined by its basis of conjugate residue pairs {𝛼, 𝑝 − 𝛼} for all units 𝛼 ∈ 𝑈𝑝. We investigate the fundamental topological concepts such as point-set topology, separation axioms, and characterise the structure and behaviour of this topology. Additionally, we examine a function 𝑓 from 𝜏𝑝 to the topology of quadratic residues 𝜏𝑄, mapping each unit to its square modulo 𝑝. We analyse the continuity, openness of 𝑓, and explore its implications for separation properties. Furthermore, we define a quotient topology on 𝑈𝑝 based on the equivalence relation 𝑥 ∼ 𝑦 if and only if 𝑥2 ≡ 𝑦2 𝑚𝑜𝑑 𝑝, showing that the resulting quotient space is homeomorphic to (𝑄𝑝 , 𝜏𝑄 ).

In this paper, we consider the Bayesian estimation of the parameters and reliability function for a Cosine inverse log compound Rayleigh distribution under squared error and squared logarithmic loss functions. We use Lindley’s approximation to compute the Bayesian estimates. This method is evaluated using mean square error through simulation study with varying sample size.